X is the diameter of the base of the tree, in meters. (d) The height of the tree, in meters, can also be modeled by the function G, given by, where Goal: To find the volume of a solid using second semester calculus. (c) Use a trapezoidal sum with the four subintervals indicated by the data in the table to approximate theĪverage height of the tree over the time interval 2 ≤ t ≤ 10. The branch of mathematics in which the notion of an integral, its properties and methods of calculation are studied.Integral calculus is intimately related to differential calculus, and together with it constitutes the foundation of mathematical analysis. (b) Explain why there must be at least one time t, for 2 < t < 10, such that H'(t) = 2. Using correct units, interpret the meaning of H'(6) in the (a) Use the data in the table to estimate H'(6). Selected values of H(t) are given in the table above.
Justify your answer.ĪP Calculus AB 2018 Free Response Question 4 Number, find the number of people in line at this time. (d) For 0 ≤ t ≤ 300, at what time t is the number of people in line a minimum? To the nearest whole (c) For t > 300, what is the first time t that there are no people in line for the escalator? (b) During the time interval 0 ≤ t ≤ 300, there are always people in line for the escalator. (a) How many people enter the line for the escalator during the time interval 0 ≤ t ≤ 300 ? There are 20 people in line at time t = 0. They exit the line at a constant rate of 0.7 person per second. Where r(t) is measured in people per second and t is measured in seconds. People enter a line for an escalator at a rate modeled by the function r given by.The algorithm looks very fair and there is no starvation (all requests are serviced sequentially) but generally, it does not provide the fastest service. As the name suggests, this algorithm entertains requests in the order they arrive in the disk queue. Use anĪccumulation function and the Fundamental Theorem of Calculus (FTC). First Come First Serve (FCFS) FCFS is the simplest disk scheduling algorithm. Questions And Worked Solutions For AP Calculus AB 2018ĪP Calculus AB 2018 Free Response Questions - Complete Paper (pdf)ĪP Calculus AB 2018 Free Response Question 1